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Sibirskii Matematicheskii Zhurnal, 2006, Volume 47, Number 5, Pages 1117–1127 (Mi smj918)  
This article is cited in 2 scientific papers (total in 2 papers)

Nilpotency of the derived subgroup of a finite tangled group

A. L. Myl'nikov

Krasnoyarsk State University
Full-text PDF (219 kB) Citations (2)
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Abstract: We study finite groups whose every subset containing the identity and closed with respect to the operation $x\circ y=xy^{-1}x$ is a subgroup. We prove that the derived subgroup of such a group is nilpotent, which implies that the derived length of such a group is at most three.
Keywords: twisted subset, twisted subgroup, tangled subgroup.
Received: 16.06.2005
English version:
Siberian Mathematical Journal, 2006, Volume 47, Issue 5, Pages 915–923
DOI: https://doi.org/10.1007/s11202-006-0102-x
Bibliographic databases:
UDC: 512.544
Language: Russian
Citation: A. L. Myl'nikov, “Nilpotency of the derived subgroup of a finite tangled group”, Sibirsk. Mat. Zh., 47:5 (2006), 1117–1127; Siberian Math. J., 47:5 (2006), 915–923
Citation in format AMSBIB
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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